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Finding the Third Proportional to 103,977 and 144,870.75

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Solution

The third proportional to 103,977 and 144,870.75 is: 201,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,977 : 144,870.75 = 144,870.75 : x
  2. Step 2: Convert to fraction form
    103,977/144,870.75 = 144,870.75/x
  3. Step 3: Cross multiply
    103,977x = 144,870.75 × 144,870.75
  4. Step 4: Simplify right side
    103,977x = 20,987,534,205.56
  5. Step 5: Solve for x
    x = 20,987,534,205.56/103,977
  6. Step 6: Final answer
    x = 201,847.85

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.